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Finding the Fourth Proportional to 458,154.05, 686,954.94 and 205,388.78

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Solution

The fourth proportional to 458,154.05, 686,954.94 and 205,388.78 is: 307,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,154.05 : 686,954.94 = 205,388.78 : x
  2. Step 2: Convert to fraction form
    458,154.05/686,954.94 = 205,388.78/x
  3. Step 3: Cross multiply
    458,154.05x = 686,954.94 × 205,388.78
  4. Step 4: Simplify right side
    458,154.05x = 141,092,833,606.80
  5. Step 5: Solve for x
    x = 141,092,833,606.80/458,154.05
  6. Step 6: Final answer
    x = 307,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.